Some irrational Generalised Moonshine from orbifolds |
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| Institution: | 1. Department of Mathematical Physics, National University of Ireland, Galway, Ireland;2. Institute for Nuclear Research and Nuclear Energy, 72 Tzarigradsko shosse, 1784 Sofia, Bulgaria;3. Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland;1. Campus Salinópolis, Universidade Federal do Pará, 68721-000, Salinópolis, Pará, Brazil;2. Laboratório de Astrofísica Teórica e Observacional, Departamento de Ciências Exatas e Tecnológicas, Universidade Estadual de Santa Cruz, 45650-000, Ilhéus, Bahia, Brazil;1. Physics Group, CGE, Chang Gung University, Taoyuan 33302, Taiwan;2. Department of Physics, Purdue University, West Lafayette, IN 47907, USA;1. The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark;2. Institute for Mathematics, Astrophysics and Particle Physics (IMAPP), Radbaud University Nijmegen, Heyendaalseweg 135, 6525 AJ, Nijmegen, The Netherlands;3. Tokyo Institute of Technology, Dept. of Physics, High Energy Theory Group, 2-12-1 Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan |
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| Abstract: | We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster centralisers related to the Harada–Norton, Held, M12 and L3(3) simple groups based on certain orbifolding constraints. We find explicitly the fixing groups of the hauptmoduls arising in each case. |
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